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Lady_Fox [76]
3 years ago
7

Find the equation of the line that is perpendicular to Y=6x+3 and passes through the point (-24,5)

Mathematics
1 answer:
Phantasy [73]3 years ago
5 0
The slope of the given line is the coefficient of x, 6. The slope of the perpendicular line will be the negative reciprocal of that, -1/6. Then the point-slope form of the equation of the line is
  y = m(x -h) +k . . . . . . line with slope m through point (h, k)
You want m=-1/6, (h, k) = (-24, 5), so your equation is
  y = (-1/6)(x +24) +5
  y = (-1/6)x +1

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Solve the equation x/4 - 7 = y for x
expeople1 [14]

Answer:

x = 4y + 28

Step-by-step explanation:

x/4 - 7 = y

+7              +7

x/4 = y + 7

× 4             × 4

x = 4y + 28

7 0
3 years ago
Read 2 more answers
A monitor measures 10.6 inches by 16.8 what is the length of the diagonal
Ludmilka [50]

Step-by-step explanation:

We will use pythagoras' Theorem for this question

{c}^{2}  =  {a}^{2}  +  {b}^{2}

where c is the longest side (in this case, the diagonal)

a and b are the 2nd and 3rd longest side (interchangeable)

given a = 10.6, b = 16.8,

{c}^{2}  =  {10.6}^{2}  +  {16.8}^{2} \\  {c}^{2}   = 112.36 + 282.24 \\  {c}^{2}  = 394.6 \\ c =  \sqrt{394.6} \\  =  \frac{ \sqrt{9865} }{5}  inches

4 0
3 years ago
What is the fourth term in the arithmetic sequence 13,10,7
Anettt [7]
The fourth term in the arithmetic sequence is 4. This is because you are subtracting 3 each time, and you already have your first three numbers in the pattern, so all you have to do is subtract another 3 in order to get 4.
5 0
3 years ago
Suppose A and B are square matrices of the same size. Which of the following are necessarily true?
kiruha [24]

Answer:

c. (A + B)^2-A^2 + 2AB + B^2

Step-by-step explanation:

Given that:

a.

(A-B)^2 = A^2 - 2AB + B^2

If and only if AB = BA

Then;

(A-B)^2 = (A -B ) (A - B)

(A-B)^2 = A^2 - AB-BA + B^2    (FALSE)

b.

(AB)^2=A^2B^2

on true if any only if AB =BA

(AB)^2= (AB) (AB)

c.

(A+ B)^2 =  A^2 + 2AB + B^2

(A+ B)^2 = (A + B) (A+B)

(A+ B)² = A × A + A × B + B × A + B × B

(A+ B)^2 = A^2 + A*B + B*A + B^2

This is true

5 0
3 years ago
A cheetah ran 300 feet in 2.92 seconds . What was the cheetah's average speed in miles per hour ? Show your work .
vivado [14]
Cheetah ran 300 feet in 2.92 seconds.

Average speed in miles per hour.

Converting 300 feet to mile.
5280 feet  =  1 mile
1 feet    =    (1/5280) mile
300 feet =    (1/5280) * 300 = (300/5280) = (30/528) = (10/176) mile.

2.92 seconds to hour.
3600 seconds  =    1 hour
1 second          =  (1/3600) hour
2.92 seconds    =    2.92 * (1/3600) =  (2.92/3600) hour.

Speed of Cheetah in miles per hour =    (10/176) mile  /  (2.92/3600) hour
                                                     =  70.05 miles/hour
3 0
3 years ago
Read 2 more answers
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